Answer to Question #1784 in Trigonometry for Kaitlyn

Question

A television antenna is situated atop a hill. From a point 200m from the base of the hill, the angle of elevation of the top of the antenna is 80º. The angle of elevation of the antenna from the same point is 75º. How tall is the antenna?

Answer 1

The height of the antenna could be found by the following formula:
H = Dsin(80º) -D sin(75º) = D(sin(80º) - sin(75º) ), where D = 200 m
H = 200 (0.985 - 0.966) = 3.8 [m]